A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866916946718490624 |
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| author | Adachi, Shinji Shibata, Masataka Watanabe, Tatsuya |
| author_facet | Adachi, Shinji Shibata, Masataka Watanabe, Tatsuya |
| contents | In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_07086 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application Adachi, Shinji Shibata, Masataka Watanabe, Tatsuya Analysis of PDEs 35J61, 35A02, 35B05 In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations. |
| title | A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application |
| topic | Analysis of PDEs 35J61, 35A02, 35B05 |
| url | https://arxiv.org/abs/1602.07086 |